The type of relations from among the options are as follows;
- Relation 3; Not a function
- Relation 4; Not a function
What is a function; A function is a rule that maps each element in a set of input values to exactly one element in a set of output values, such that each input maps onto exactly one output
Relation 1
The input elements are the elements in the domain and the output elements are the elements in the range
The arrow that maps the elements in the domain to the elements in the range indicates that each element in the domain is mapped unto only one element in the range, therefore, the relationship is a function
Relation 2
The number of arrows from each element in the domain is only one arrow each, which indicates that each domain element is mapped to only one element in the range as the domain elements are distinct and the range elements are distinct, which indicates that relation 2 is a function
Relation 3
The element d in the domain maps onto the elements d and j in the range, and the element a in the domain maps onto the elements a and c in the range therefore, the relation is not a function
Relation 4
The element -5 in the domain maps onto the elements d and e in the range, therefore, the relation is not a function